From late diagnosis experience...any fever not during flu season, ask for a blood test, assuming you don’t have the convenience of a rash.

I don’t eat red meat like I used to but I don’t think I have an allergy. Some are allergic just to the smell of meat. Alpha gal levels can be tested.

https://www.businessinsider.com/lone-star-tick-alpha-gal-red-meat-allergy-2018-5/